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Probability in Banach Spaces : Isoperimetry and Processes.

By: Contributor(s): Material type: TextTextSeries: Classics in Mathematics SeriesPublisher: Berlin, Heidelberg : Springer Berlin / Heidelberg, 2002Copyright date: ©1991Edition: 1st edDescription: 1 online resource (493 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9783642202124
Subject(s): Genre/Form: Additional physical formats: Print version:: Probability in Banach SpacesDDC classification:
  • 519.2
LOC classification:
  • QA273.A1-274.9
Online resources:
Contents:
Ergebnisse der Mathematik und ihrer Grenzgebiete 3. Folge . Band 23 A Series of Modem Surveys in Mathematics -- Probability in Banach Spaces -- Copyright -- Preface -- Table of Contents -- Introduction -- Notation -- Part 0 Isoperimetric Background and Generalities -- 1. Isoperimetric Inequalities and the Concentration of Measure Phenomenon -- 2. Generalities on Banach Space Valued Random Variables and Random Processes -- Part I Banach Space Valued Random Variables and Their Strong Limiting Properties -- 3. Gaussian Random Variables -- 4. Rademacher Averages -- 5. Stable Random Variables -- 6. Sums of Independent Random Variables -- 7. The Strong Law of Large Numbers -- 8. The Law of the Iterated Logarithm -- Part II Tightness of Vector Valued Random Variables and Regularity of Random Processes -- 9. Type and Cotype of Banach Spaces -- 10. The Central Limit Theorem -- 11. Regularity of Random Processes -- 12. Regularity of Gaussian and Stable Processes -- 13. Stationary Processes and Random Fourier Series -- 14. Empirical Process Methods in Probability in Banach Spaces -- 15. Applications to Banach Space Theory -- References -- Subject Index.
Summary: Based on recent developments, such as new isoperimetric inequalities and random process techniques, this book presents a thorough treatment of the main aspects of Probability in Banach spaces, and of some of their links to Geometry of Banach spaces.
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Ergebnisse der Mathematik und ihrer Grenzgebiete 3. Folge . Band 23 A Series of Modem Surveys in Mathematics -- Probability in Banach Spaces -- Copyright -- Preface -- Table of Contents -- Introduction -- Notation -- Part 0 Isoperimetric Background and Generalities -- 1. Isoperimetric Inequalities and the Concentration of Measure Phenomenon -- 2. Generalities on Banach Space Valued Random Variables and Random Processes -- Part I Banach Space Valued Random Variables and Their Strong Limiting Properties -- 3. Gaussian Random Variables -- 4. Rademacher Averages -- 5. Stable Random Variables -- 6. Sums of Independent Random Variables -- 7. The Strong Law of Large Numbers -- 8. The Law of the Iterated Logarithm -- Part II Tightness of Vector Valued Random Variables and Regularity of Random Processes -- 9. Type and Cotype of Banach Spaces -- 10. The Central Limit Theorem -- 11. Regularity of Random Processes -- 12. Regularity of Gaussian and Stable Processes -- 13. Stationary Processes and Random Fourier Series -- 14. Empirical Process Methods in Probability in Banach Spaces -- 15. Applications to Banach Space Theory -- References -- Subject Index.

Based on recent developments, such as new isoperimetric inequalities and random process techniques, this book presents a thorough treatment of the main aspects of Probability in Banach spaces, and of some of their links to Geometry of Banach spaces.

Description based on publisher supplied metadata and other sources.

Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.

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